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. Author manuscript; available in PMC: 2012 Feb 1.
Published in final edited form as: Bull Math Biol. 2011 Jun 17;74(2):300–326. doi: 10.1007/s11538-011-9668-y

Table 4.

Parameter estimates and 95% confidence intervals via bootstrap for fitting the branching process model (2.10) and the Cyton model to real data. The lower bound for some highly-skewed parameters in the Cyton model are not available.

Model Parameter CD4 PHA CD8 PHA

symbol unit est. lower bound upper bound est. lower bound upper bound
Branching Process Model (2.10) N(1)(0) cells 7.99 × 105 1.10 × 105 8.57 × 105 8.63 × 105 6.86 × 104 9.09 × 105
N(3)(0) cells 9.17 × 104 5.12 × 104 4.62 × 105 7.92 × 104 4.24 × 104 8.96 × 105
p3 % 31.3 0 71.2 19.6 0 88.2
μa+p0 hours 41.7 24.3 151 24.4 24.0 102
va+p0 hours2 52.8 5.15 × 10−4 6.38 × 103 0.246 0 1.77 × 103
μp hours 19.3 4.73 70.7 15.1 11.3 29.9
vp hours2 19.2 0 7.74 × 103 0.839 0 485
μa+d0 hours 25.5 0.78 76.4 34.1 20.0 299
va+d0 hours2 3.52 × 103 1.51 × 10−3 1.00 × 105 5.26 × 103 0.39 1.00 × 105
μd hours 74.7 15.0 3.87 × 103 88.3 6.26 358
vd hours2 689 0 5.41 × 104 638 0 1.50 × 103

Cyton Model N(0) cells 6.75 × 105 2.09 × 105 9.26 × 105 7.95 × 105 2.68 × 105 1.69 × 106
f0 % 73.9 17.2 100 60.9 18.7 100
fn % 61.6 - 100 78.0 40.0 100
μa+p0 hours 48.6 33.6 145 29.0 - 131
va+p0 hours2 77.5 0.05 5.73 × 103 1.97 0.39 4.63 × 103
μp hours 18.8 10.6 42.1 16.0 9.92 22.2
vp hours2 17.3 3.38 996 4.60 2.11 90.2
μa+d0 hours 36.4 21.7 440 52.0 23.6 464
va+d0 hours2 1.23 × 103 14.0 1.03 × 105 4.01 × 103 6.78 1.56 × 105
μd hours 80.9 24.6 8.71 × 103 47.3 21.0 9.00 × 103
vd hours2 702 0.48 1.87 × 105 105 9.54 1.85 × 105